BP PLC told investors Tuesday (April 29) that it will continue to fight compensation payments to businesses it believes did not suffer economic losses tied to the 2010 Gulf of Mexico oil spill. The British oil giant did not go so far as to estimate what the remaining claims could cost, though it shed some light on what has been spent so far.

BP, which gave an update on ongoing spill litigation during its first quarter earnings call, reported costs tied to the spill total $42.7 billion. The figure does not include any payment for business loss claims that have yet to be received, processed or paid by the oil spill claims facility.

Chief Financial Officer Brian Gilvary said "it is still not possible to reliably estimate the remaining economic loss claims" tied to the spill.

BP established a $20 billion trust fund to pay claims in the wake of the April 20, 2010 Deepwater Horizon rig explosion, which killed 11 men and set off the worst oil spill in U.S. history.

The trust fund had a remaining balance of $6.6 billion as of March 31, with $13.4 billion having already been paid out. Trust funds that remain unallocated totaled $700 million.

BP is now requesting the ruling be reviewed by all 14 of the active 5th Circuit judges, rather than a selected panel of three.

In the meantime, the court has ordered payments for all business economic loss, or BEL, claims be put on hold. No business economic loss payments have been made since the injunction was put in place on Oct. 3, 2013. The injunction will be lifted when the case is transferred back to the U.S. District Court.

U.S. District Judge Carl Barbier later ordered that the claims processing rules be rewritten to require businesses to match revenues and expenses to show if and how much money they lost.

Barbier originally ruled the changes went against the terms laid out under BP's original settlement agreement, which assigned claimants to certain zones based on their distance from the blown out Macondo oil well and the type of damage caused by the spill.

The court is now reviewing the proposed matching policy. The policy is opposed by the Plaintiff Steering Committee, which represented thousands of claimants during settlement negotiations.

Attorneys also are preparing for third and final leg of the civil trial of BP and its partners in the Macondo well. The trial, which begins on Jan. 20, 2015, will determine what fines BP and others are required to pay under the Clean Water Act and other laws.

BP reported $3.2 billion in profit for the first quarter 2014. That was up from $2.8 billion in the previous quarter but down from $4.2 billion during the fourth quarter 2013.

Correction: An earlier version of this story incorrectly reported that claims payments to business are moving forward under the oil spill settlement. They are not.